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Finding the Third Proportional to 46,801.13 and 63,509.06

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Solution

The third proportional to 46,801.13 and 63,509.06 is: 86,181.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,801.13 : 63,509.06 = 63,509.06 : x
  2. Step 2: Convert to fraction form
    46,801.13/63,509.06 = 63,509.06/x
  3. Step 3: Cross multiply
    46,801.13x = 63,509.06 × 63,509.06
  4. Step 4: Simplify right side
    46,801.13x = 4,033,401,019.63
  5. Step 5: Solve for x
    x = 4,033,401,019.63/46,801.13
  6. Step 6: Final answer
    x = 86,181.71

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.